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This study optimizes the simulated annealing (SA) algorithm for generating strong cryptographic S-boxes. The enhanced method significantly reduces computational costs and increases the success rate for creating high-nonlinearity S-boxes crucial for secure symmetric key ciphers.

Keywords:
S-boxcomputational complexityiterative searchnonlinear substitutionssimulated annealing algorithm

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Area of Science:

  • Cryptography
  • Information Security
  • Applied Mathematics

Background:

  • Symmetric key ciphers rely on S-boxes to introduce nonlinearity, crucial for resisting cryptanalysis.
  • Generating random S-boxes with high nonlinearity is vital for robust cryptographic systems.
  • Existing methods, like simulated annealing (SA), face challenges with computational complexity.

Purpose of the Study:

  • To optimize the simulated annealing (SA) algorithm for efficient S-box generation.
  • To improve the computational efficiency and success probability of generating high-nonlinearity S-boxes.
  • To enhance the design of cryptographically strong symmetric ciphers.

Main Methods:

  • Optimization of simulated annealing (SA) algorithm parameters.
  • Generation of 8-bit bijective S-boxes.
  • Evaluation of S-box nonlinearity index.

Main Results:

  • Significantly reduced computational complexity for S-box generation using optimized SA.
  • Substantially increased the probability of generating S-boxes with a nonlinearity score of 104.
  • Achieved efficient generation of high-quality S-boxes.

Conclusions:

  • The optimized SA algorithm offers a more computationally feasible approach to generating strong S-boxes.
  • This research contributes to the development of more secure and efficient symmetric key ciphers.
  • Further research can explore parameter tuning for even greater efficiency and S-box quality.